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Finding the Fourth Proportional to 3,725.70, 5,137.25 and 2,379.50

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Solution

The fourth proportional to 3,725.70, 5,137.25 and 2,379.50 is: 3,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.70 : 5,137.25 = 2,379.50 : x
  2. Step 2: Convert to fraction form
    3,725.70/5,137.25 = 2,379.50/x
  3. Step 3: Cross multiply
    3,725.70x = 5,137.25 × 2,379.50
  4. Step 4: Simplify right side
    3,725.70x = 12,224,086.38
  5. Step 5: Solve for x
    x = 12,224,086.38/3,725.70
  6. Step 6: Final answer
    x = 3,281.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.